226200720 has 80 divisors (see below), whose sum is σ = 710883072. Its totient is φ = 59489280.

The previous prime is 226200703. The next prime is 226200763. The reversal of 226200720 is 27002622.

226200720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11065 + ... + 23975.

Almost surely, 2^226200720 is an apocalyptic number.

226200720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355441536).

226200720 is an abundant number, since it is smaller than the sum of its proper divisors (484682352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226200720 is a wasteful number, since it uses less digits than its factorization.

226200720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13000 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 226200720 is about 15039.9707446524. The cubic root of 226200720 is about 609.3002097824.

The spelling of 226200720 in words is "two hundred twenty-six million, two hundred thousand, seven hundred twenty".